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Guerraggio, Angelo; Molho, Elena
Historia mathematica, 02/2004, Volume: 31, Issue: 1Journal Article
The origins of the notion of quasi-concave function are considered, with special interest in some work by John von Neumann, Bruno de Finetti, and W. Fenchel. The development of such pioneering studies subsequently led to a whole field of research, known as “generalized convexity.” The different styles of the three authors and the various motivations for introducing quasi-concavity are compared, without losing sight of economic applications characteristic of the whole field of generalized convexity. Il lavoro considera le origini della nozione di funzione quasi-concava, con particolare riguardo ad alcuni scritti di John von Neumann, di Bruno de Finetti, e di W. Fenchel. Lo sviluppo di tali studi pionieristici ha successivamente consentito lo sviluppo di un intero campo di ricerca detto “convessità generalizzata.” I diversi stili dei tre autori e le differenti motivazioni che hanno portato all'introduzione della quasi-concavità vengono confrontati, senza perdere di vista il riferimento alle applicazioni economiche che costituiscono una caratteristica in tema di convessità generalizzata.
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